Liouville's theorem (English)
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Definition Niveau 4
Every bounded entire function is constant.
This may be used to prove the fundamental theorem of algebra, by considering the reciprocal of a non-zero polynomial (whose reciprocal must therefore be entire).
This may be used to prove the fundamental theorem of algebra, by considering the reciprocal of a non-zero polynomial (whose reciprocal must therefore be entire).
Beziehungen:
- weiterer Begriff:
- (en) Theorem
- bezieht sich auf:
- (en) Entire
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